6249880 has 128 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 1843200.

The previous prime is 6249871. The next prime is 6249883. The reversal of 6249880 is 889426.

6249880 is a nontrivial binomial coefficient, being equal to C(3536, 2).

It is a super-2 number, since 2×6249880² = 78122000028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6249883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61830 + ... + 61930.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 2^6249880 is an apocalyptic number.

6249880 is the 3535-th triangular number and also the 1768-th hexagonal number.

6249880 is the 1179-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6249880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

6249880 is an abundant number, since it is smaller than the sum of its proper divisors (12257000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6249880 is a wasteful number, since it uses less digits than its factorization.

6249880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 6249880 is about 2499.9759998848. The cubic root of 6249880 is about 184.2003960344.

The spelling of 6249880 in words is "six million, two hundred forty-nine thousand, eight hundred eighty".